Consider the following frequency table of 50 observations on the random variable X: Value Observed 2 10 Expected 8.8989 17.7979 14.8315 3 or more 15 8.4717 21 Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k –p – 1) = 3 Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xã k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution a. Because X + X? , Question 1 reject the null hypothesis. Distribution is Question 2 binomial. Question 3 b.Họ: Distribution of random variable X is not binomial H;: Distribution of random variable X is binomial Question 4 c 12.84 d. Because X > x? reject the null hypothesis. Distribution is not *a,k - p -1 binomial e. Parameter of interest is the distribution of the random variable X f. Ho: Distribution is binomial

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Question
Consider the following frequency table of 50 observations on the random variable X:
3 or more
Value
Observed
Expected
21
17.7979
10
15
8.8989
14.8315
8.4717
Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit
test with a = 0.05, degrees of freedom (k – p – 1) = 3
Question 1:
State the parameter of interest
Question 2:
Formulate the null and alternative hypothesis
Question 3:
Find the value of the critical Chi-Square, xả, k-p-1
Question 4:
Test the hypothesis if the distribution of the random variable X follows the binomial distribution
Question 1
a. Because X? + X2
reject the null hypothesis. Distribution is
ak-p-1
binomial.
v Question 2
v Question 3
b.Hg: Distribution of random variable X is not binomial
H;: Distribution of random variable X is binomial
Question 4
c. 12.84
d. Because X? > X?
a k-p-1
reject the null hypothesis. Distribution is not
binomial
e. Parameter of interest is the distribution of the random variable X
f. Ho: Distribution is binomial
H;: Distribution is not binomial
g7.81
Transcribed Image Text:Consider the following frequency table of 50 observations on the random variable X: 3 or more Value Observed Expected 21 17.7979 10 15 8.8989 14.8315 8.4717 Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k – p – 1) = 3 Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xả, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution Question 1 a. Because X? + X2 reject the null hypothesis. Distribution is ak-p-1 binomial. v Question 2 v Question 3 b.Hg: Distribution of random variable X is not binomial H;: Distribution of random variable X is binomial Question 4 c. 12.84 d. Because X? > X? a k-p-1 reject the null hypothesis. Distribution is not binomial e. Parameter of interest is the distribution of the random variable X f. Ho: Distribution is binomial H;: Distribution is not binomial g7.81
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